306400761 has 12 divisors (see below), whose sum is σ = 442954980. Its totient is φ = 204093600.

The previous prime is 306400753. The next prime is 306400763. The reversal of 306400761 is 167004603.

It can be written as a sum of positive squares in 2 ways, for example, as 238239225 + 68161536 = 15435^2 + 8256^2 .

It is not a de Polignac number, because 306400761 - 2³ = 306400753 is a prime.

It is not an unprimeable number, because it can be changed into a prime (306400763) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2790 + ... + 24911.

It is an arithmetic number, because the mean of its divisors is an integer number (36912915).

Almost surely, 2^306400761 is an apocalyptic number.

It is an amenable number.

306400761 is a deficient number, since it is larger than the sum of its proper divisors (136554219).

306400761 is a wasteful number, since it uses less digits than its factorization.

306400761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28936 (or 28933 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 306400761 is about 17504.3069271537. The cubic root of 306400761 is about 674.1604640732.

The spelling of 306400761 in words is "three hundred six million, four hundred thousand, seven hundred sixty-one".